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Anatomical and mechanical properties of swine midpalatal suture in the premaxillary, maxillary, and palatine region

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Anatomical and mechanical

properties of swine midpalatal

suture in the premaxillary,

maxillary, and palatine region

Fabio Savoldi

1,2,3

, Bing Xu

1,4

, James K. H. Tsoi

1

, Corrado Paganelli

2

& Jukka P. Matinlinna

1 The mechanical properties of the midpalatal suture and their relationship with anatomical parameters are relevant for both tissue engineering and clinical treatments, such as in sutural distraction osteogenesis. Soft tissues were dissected from ten swine heads and the hard palate was sliced perpendicularly to the midpalatal suture. Thirteen specimens were collected from each animal and analysed with micro-computed tomography and 4-point-bending for sutural width (Sw), interdigitation (LII), obliteration (LOI), failure stress (σf), elastic modulus (E), and bone mineral density (BMD). Values of the premaxillary, maxillary, and

palatine region were compared with Kruskal-Wallis one-way ANOVA and Spearman’s rank coefficient was used to analyse the correlation between parameters and their position along the suture (α = 0.05). LII had values of 1.0, 2.9, and 4.3, LOI had values of 0.0%, 2.5%, and 4.5%, and E had values of 12.5 MPa, 31.3 MPa, and 98.5 MPa, in the premaxillary, maxillary, and palatine region, respectively (p < 0.05). Failure stress and rigidity of the midpalatal suture increased from rostral to caudal, due to greater interdigitation and obliteration. These anatomical and mechanical findings contribute to characterise maxillary growth, and may help to understand its mechanical reaction during loading, and in virtual simulations.

During growth, a system of joints develops at the interface of the adjacent bones of the skull, most of which are a type of syndesmosis described as “suture”. Sutures allow stress distribution and bone remodelling during growth and through sutural distraction osteogenesis, as documented in human1,2 and swine3. Histologically, human

sutures are characterised by a fibrous connective tissue at the interface between the bony fronts i.e., the sutural ligament, composed of several cellular layers and fibres4, whose general structure is similar between man and

species such as rabbit, sheep, and swine4,5.

In humans, the hard palate originates during the intramembranous development of the nasomaxillary com-plex, and is formed by two lateral processes that grow toward the median line, and one anterior part known as primary palate6. Eventually, the hard palate consists of three pairs of bones connected along the midline by the

midpalatal suture. This is divided into a premaxillary, a maxillary, and a palatine segment. Subsequently, the mid-palatal suture further undergoes morphological changes progressively until adulthood7.

Although animal studies have reported that the midpalatal suture is a type of viscoelastic material8,9,

quanti-tative information is very sparse and research studies had to assume the suture to behave as an empty space10, or

to attribute to it the characteristics of other tissues11. Furthermore, studies on humans suggested that mechanical

properties may be affected by its rostro-caudal gradient of ossification12,13, that is a relationship apparently still

undocumented. Its reaction to loading is also relevant for regenerative medicine since sutural distraction is capa-ble in inducing osteogenesis14, whose potential has found application in clinical treatments such as the maxillary

expansion15,16 i.e., the widening of the upper jaw along the midpalatal suture.

The objectives of this study were to assess the change in the morphology and mechanical properties along the mid-palatal suture of the swine, testing if any difference was present among the three analysed regions i.e., the premaxillary, the maxillary, and the palatine, and if any correlation existed with the position along the rostro-caudal direction.

1Dental Materials Science, Discipline of Applied Oral Sciences, Faculty of Dentistry, The University of Hong Kong,

Pok Fu Lam, Hong Kong. 2Department of Orthodontics, Dental School, University of Brescia, Brescia, Italy. 3Orthodontics, Faculty of Dentistry, The University of Hong Kong, Pok Fu Lam, Hong Kong. 4Dental Department,

The University of Hong Kong-Shenzhen Hospital, Shenzhen, P.R. China. Correspondence and requests for materials should be addressed to J.K.H.T. (email: jkhtsoi@hku.hk)

Received: 29 September 2017 Accepted: 19 April 2018 Published: xx xx xxxx

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Results

Histology and scanning electron microscopy.

Proceeding from rostral to caudal, the general anatomy of the suture in the premaxillary region was a simple linear connection between the bony borders. At the most rostral part, a Y-shaped structure was visible, resulting from the overlapping of different structures. This included the straight connection of the premaxillo-premaxillary suture, the zig-zag pattern of the maxillo-maxillary suture, and the concave profile of the vomer inserting on the premaxilla (Fig. 1G–I). In the maxillary region the suture was progressively serrated, changing to an extended and parallel sinusoidal arrangement (Fig. 1D–F). Further, in the palatine region the sutural complexity was greater, with evident physical interlocking. The two maxillo-palatal sutures were also visible on its left and right side (Fig. 1A–C).

The fibrous ligament of the suture presented five well-identifiable layers in the premaxillary region. In the most rostral part, cambial layers were thick, exhibiting several strata of proliferating osteogenic-like cells and appearing as growth sites. The capsular layers and the loose middle layer comprised of less cells and more fibres connecting the two sides. In this same region, two distinct patterns of fibre orientation were distinguishable: a parallel disposition in the most medial part, and a more radial orientation that was in contact with the bone (Fig. 2G–I). Compared to the premaxillary region, the ligament of the maxillo-maxillary suture was relatively dense with more cells, and the two distinct orientations of the fibres were not identifiable (Fig. 2D–F). The palatal region showed very thin cambial layers with a single layer of cells flattened against the bony surface. The capsular layers and the middle layer were not easily recognisable, forming the main bulk of the suture. The region showed more robust trabeculae and mature bone as indicated by the occasional presence of osteons-like cells (Fig. 2A–C). As a whole, the anatomy and the organisation of the sutural ligament of the premaxillary region were markedly different from the maxillary and the palatine.

Figure 1. Histological images of the midpalatal suture (haematoxylin-eosin, 1×, bar = 2000 μm) on the coronal

plane (rostro-caudal view). Irregular shape in the palato-palatine suture (A–C) and maxillo-palatal sutures on the sides (1); serrated pattern of the maxillo-maxillary suture (D–F); overlapping of different structures in the premaxillary region (G–I), including the premaxillo-premaxillary suture (2), the maxillo-maxillary suture (3), and the premaxillo-vomeral suture (4).

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Scanning-electron microscopy (SEM) pictures corroborated the histological findings showing a complex sinu-soidal interface composed of two opposing and relatively flat fronts facing each other at a distance in the order of hundreds of microns. An intricate matrix of tubular-like fibrillar strings of 1 to 10 µm of diameter emerged converging towards the medial region of the interface following different orientations. In addition, a smooth and relatively uniform layer covered the surface of the fibres, which were not distinguishable as single structures and appeared as a net-like pattern (Fig. 3).

Anatomy.

The data were not normally distributed (p < 0.05) and thus non-parametric tests were applied.

Sw had median values of 1162 µm (IQR = 218 µm) and 1132 µm (IQR = 300 µm) in the premaxillary region, 229 µm (IQR = 98 µm) and 172 µm (IQR = 59 µm) in the maxillary region, and 137 µm (IQR = 50 µm) and 148 µm (IQR = 28 µm) in the palatine, in the axial (SwAX) and coronal (SwCOR) plane, respectively (Table 1, Fig. 4A,B). Sw

showed a negative correlation with PosCON of −0.754 (p < 0.001) and −0.443 (p < 0.001), regarding the axial and

coronal plane, respectively.

LII had median values of 1.0 (IQR = 0.0) and 1.0 (IQR = 0.0) in the premaxillary region, 2.1 (IQR = 1.2) and

2.9 (IQR = 1.5) in the maxillary region, and 7.3 (IQR = 6.2) and 4.3 (IQR = 1.0) in the palatine, in the axial (LIIAX)

and coronal (LIICOR) plane, respectively (Table 1, Fig. 4C,D). LII showed a positive correlation with PosCON of

+0.718 (p < 0.001) and +0.473 (p < 0.001), regarding the axial and coronal plane, respectively.

LOI had median values of 0.0% (IQR = 0.0%) and 0.0% (IQR = 0.0%) in the premaxillary region, 3.4% (IQR = 6.4%)

and 2.5% (IQR = 2.6%) in the maxillary region, and 5.2% (IQR = 3.9%) and 4.5% (IQR = 2.3%) in the palatine, in the axial (LOIAX) and coronal (LOICOR) plane, respectively (Table 1, Fig. 4E,F). LOI showed a positive correlation with PosCON of +0.513 (p < 0.001) and +0.725 (p < 0.001), regarding the axial and coronal plane, respectively.

BMD had median values of 0.54 g/cm3 (IQR = 0.07 g/cm3) in the premaxillary region, 0.65 g/cm3

(IQR = 0.24 g/cm3) in the maxillary region, and 0.67 g/cm3 (IQR = 0.12 g/cm3) in the palatine (Fig. 4J). BMD

showed a positive correlation with PosCON of +0.532 (p < 0.001).

In general, besides each inter-group comparison, the anatomy of the premaxillary region resulted to be remarkably different from the others.

Figure 2. Histological images of the midpalatal suture (haematoxylin-eosin, 10×, bar = 200 μm) in the coronal

plane (rostro-caudal view) from caudal (A) to rostral (I), following alphabetical order. In the most posterior region (A), the image shows an oblique arrangement of many ligament fibres connecting the opposing bony fronts (1); osteocytes-like cells in the inner part of the cortical bone (2); osteoblasts-like cells on the surface facing the sutural interface (3); and fibroblasts-like cells in the ligament (4). The rostral region presents two active cambial layers (5) and capsular layers (6), with a loose layer in the middle (7). Two distinct patterns of fibre orientation are visible: a parallel disposition in the most medial part of the suture, and a more radial orientation in contact with the bone (I).

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Mechanical properties.

E had median values of 12.5 MPa (IQR = 11.2 MPa) in the premaxillary region,

31.3 MPa (IQR = 29.6 MPa) in the maxillary region, and 98.5 MPa (IQR = 250.3 MPa) in the palatine (Table 1 and Fig. 4G). E showed a positive correlation with PosCON of +0.494 (p < 0.001).

Figure 3. SEM images showing the coronal plane (rostro-caudal view) of a specimen from the maxillary

region. The general view (35×) illustrates the highly interdigitated suture along the triangular-shaped bone with the base facing the oral cavity, and the apex oriented towards the nasal cavity for connection with the vomer (A); bone-ligament-bone interface (130×), (B); sutural ligament (450×) (C); detail of sutural ligament fibres (1000×) (D).

Premaxillary region

(PM) Maxillary region (MA) Palatine region (PA)

SwAX µm median 1162 229 137 IQR 218 98 50 SwCOR µm median 1132 172 148 IQR 300 59 28 LIIAX mm/mm median 1.0 2.1 7.3 IQR 0.0 1.2 6.2 LIICOR mm/mm median 1.0 2.9 4.3 IQR 0.0 1.5 1.0 LOIAX % median 0.0 3.4 5.2 IQR 0.0 6.4 3.9

LOICOR % median 0.0 2.5 4.5

IQR 0.0 2.6 2.3 BMD g/cm3 median 0.54 0.65 0.67 IQR 0.07 0.24 0.12 E MPa median 12.5 31.3 98.5 IQR 11.2 29.6 250.3 σf MPa median 3.8 3.2 11.1 IQR 1.7 2.2 10.7 εf % median 29.5 8.8 10.8 IQR 14.3 6.0 8.5

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σf had median values of 3.8 MPa (IQR = 1.7 MPa) in the premaxillary region, 3.2 MPa (IQR = 2.2 MPa) in the

maxillary region, and 11.1 MPa (IQR = 10.7 MPa) in the palatine (Table 1 and Fig. 4H). Although σf did not show

a significant correlation with PosCON (+0.625, p = 0.144), it had significantly higher values in the palatine region.

Figure 4. Sutural width (Sw) (A and B), linear interdigitation index (LII) (C and D), and linear obliteration

index (LOI) (E and F) values in the axial (AX) and coronal (COR) plane. Elastic modulus (E) (G), failure stress (σf) (H), failure strain (εf) (I), bone mineral density (BMD) (J) values in the three analysed regions. Boxplot

parameters: the top line of the upper box (dark grey) represents the 75th percentile (3rd quartile); the line

between the upper box and the lower box represents the 50th percentile (2nd quartile); the bottom line of the

lower box (light grey) represents the 25th percentile (1st quartile); the top of the upper whisker represents the

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εf had median values of 29.5% (IQR = 14.3%) in the premaxillary region, 8.8% (IQR = 6.0%) in the maxillary

region, and 10.8% (IQR = 8.5%) in the palatine (Table 1 and Fig. 4I). εf showed a negative correlation with PosCON

of −0.691 (p < 0.001).

Discussion

Histology and scanning electron microscopy.

Of the Y-shaped articulation found in the premaxilla (Fig. 1G–I), only the lower and vertical part of the “Y” strictly belonged to the midpalatal suture, and the similar structure also described in humans7,17 should be considered as composed by multiple sutures. In fact, the two

upper and oblique lines represented the premaxillo-vomeral suture (Fig. 1I) and, more posteriorly, they resulted from the overlapping of the caudal protrusion of the premaxilla on the maxilla i.e., the premaxillo-maxillary suture (Fig. 1G).

Morphological changes have been previously associated with the developmental stages of the midpalatal suture7, and a similar variation was found in the present study along the rostro-caudal direction of animals of

the same age (Fig. 1A–I), indicating a non-synchronous growth of different regions. With regard to the sutural ligament, although the five layers described in the literature5 were well-represented in the premaxillary region

(Fig. 2I), they were not clearly distinguishable in the more caudal ones, probably because of the progressive reduc-tion of the cambial layers during growth5. Although the sutural ligament of the midpalatal suture was described to

maintain a distinct stratification even at late growth stages in humans7, the highly interlocked palatine region of

the swine did not show such layers (Fig. 1A). Suture irregularity, rather than the amount of interdigitation alone, may be better representative of more mature structures.

Furthermore, as already noticed by previous studies4, the cambial region presented fibres essentially

perpen-dicular to the surface of the bone, and the middle region of the ligament had orientation more parallel to the sutural margins (Fig. 2H,I). Although such fibre organisation was noticed in the premaxilla, the maxillary region did not show this characteristics (Fig. 2D–F), which were confirmed by SEM imaging showing an unorganised fibrous matrix in the interface (Fig. 3B,C). This net of fibres also presented empty spaces (Fig. 3D), which may facilitate the fluid movement within the ligament during mechanical loading18, and potentially contributing to the

viscoelastic behaviour reported by previous studies9,11.

Although previous histological reports of the midpalatal suture of both humans4,7,12,13,17 and animals5,19 exist in

the published literature, the present work on a swine model provides further details on the anatomical variations along the rostro-caudal direction within the same subject.

Anatomy.

The Sw of the maxillary region showed values between 231 μm (SD = 97 μm) and 201 μm (SD = 75 μm) in 18‒38yo humans17, which are similar to the data of the same region assessed on the axial (229 µm,

IQR = 98 µm) and coronal planes (172 µm, IQR = 59 µm) in the present study. Nevertheless, the premaxillary region (SwAX = 1162 µm, IQR = 218 µm; SwCOR = 1132 µm, IQR = 300 µm) was distinctly wider in the swine model

(Fig. 4A,B). Although Knaup et al. reported the Sw of the midpalatal suture to be similar among different regions in humans13, the research summarised values of subjects 18‒68yo, compared to the longitudinal analysis of the

present study that revealed a negative correlation between Sw and the rostro-caudal gradient (−0.754 on the axial plane, and −0.443 on the coronal plane, p < 0.001). Accordingly, it is worth noting that the length of the palate of the swine is greater than in humans20, and this may affect the analysis of the correlation.

The maxillary and palatine regions of the human midpalatal suture develop progressive interdigitation after birth to 18yo7, measurable through the interdigitation index (II) proposed by Rafferty et al.21, which

corre-sponds to the LIICOR described in the present study. Beyond the age-dependency, the present work highlighted a

region-dependency of the interdigitation. In fact, the suture in the premaxilla was simple (LIICOR = 1.0, IQR = 0.0; LIISAG = 1.0, IQR = 0.0), whereas the maxillary region (LIIAX = 2.1, IQR = 1.2; LIICOR = 2.9, IQR = 1.5), and the

palatine region (LIIAX = 7.3, IQR = 6.2; LIICOR = 4.3, IQR = 1.0) exhibited a greater complexity. Significant

dif-ferences in LII were found among regions (p < 0.001) (Fig. 4C,D), with a positive correlation of LII along the rostro-caudal direction in both the axial (+0.718, p < 0.001) and coronal planes (+0.473, p < 0.001). Burn et al. analysed with histology the interdigitation of the maxillo-maxillary suture in farm pigs and mini pigs of 18 weeks and 20.5 weeks, respectively19, showing changes of sutural complexity in agreement with the present findings.

They reported increasing values for the anterior, middle, and posterior maxillary region from 5.08 (SD = 1.75) to 6.88 (SD = 1.54) to 7.66 (SD = 1.62), respectively, in animals exposed to soft diet, and from 3.61 (SD = 0.69) to 6.43 (SD = 1.3) to 7.60 (SD = 1.17), respectively, in animals exposed to hard diet19. Perhaps surprisingly, these

values were higher than the LIICOR calculated in the present study for older animals, which should be related to

greater sutural complexity instead5,7. Even so, the sutural length was measured by Burn et al. by tracing the

mar-gin of the cortical bone on one side of the interface, rather than along the midline of the interface, which may lead to a more intricate and longer line.

Further, discrepancies found between the present study (LIIAX = 2.9) and a previous analysis showing lower

sutural interdigitation in humans (LIIAX = 1.4)22 might be explained by inter-species differences such as the

long maxillary complex of the swine, which can be subjected to greater cantilever forces during mastication20.

Nevertheless, a previous animal study suggested that sutural interdigitation was not reduced in swine restricted to soft diet19, albeit the 12-weeks experimental exposure adopted might have not been long enough to allow

mac-roscopic sutural remodelling.

Despite the fact that growth of the upper face finishes approximately two years before the body height ceases to increase6, sutural ossification continues beyond completion of growth4,12,13,17,22. With regard to this, data from

the coronal plane (LOICOR) of the maxillary region of the midpalatal suture in 15‒35yo humans revealed a greater

suture obliteration in its caudal part compared to its rostral12. These results are in agreement with the present

findings, which showed a positive correlation of LOIAX with the rostro-caudal gradient (+0.513, p < 0.001).

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study concluded that the caudal region of the midpalatal suture tends to ossify earlier than its rostral counter-part23. Significant differences between these two regions were found in the present study as well, such that the

premaxillo-premaxillary suture exhibited no obliteration, and the palato-palatine suture showed obliteration of 5.2% (IQR = 3.9%) (p < 0.001) (Fig. 4E).

Previous studies applied µCT as an attempt to evaluate the BMD of the midpalatal suture, and concluded that the sutural bone density could be a parameter limiting maxillary expansion22. Besides the fact that maxillary

expansion was not performed, and thus no conclusion could be drawn, in the study of Korbmacher et al. the

BMD was measured as the “ratio of bone volume to total tissue volume”, which is a simple “bone/non-bone” binary

variable. In addition, the study aligned “the raw dataset on the suture’s midline” and measured the BMD on the respective 2D image corresponding to the sagittal plane of the present study. As a consequence, if an unossified suture is considered (LOI = 0.0%), the BMD would be close to 0.0% for a straight suture (LII = 1.0), which would be visualised as a cross-section of the sutural ligament only, and it would be proportionally increasing with the

LII because of the intersecting cortical plates. However, the BMD should not account for variation of the LII and vice versa.

Other authors attempted to estimate the response to maxillary expansion through the “midpalatal suture

density ratio”24, by orienting cone-beam computed tomography (CBCT) images on the palatal plane and

meas-uring the properties of a “6 mm-wide rectangle centered on the midpalatal suture”. Nevertheless, no calibration was adopted and, even though the study calculated the ratio of the difference of the grayscale-values between the suture and the soft palate, and between the palatal process of the maxilla and the soft palate, the obtained parameter should not be considered representative of the BMD. Furthermore, the analysed area included differ-ent extdiffer-ents of surrounding bone. All in all, especially for the difficulties in selecting a volume represdiffer-entative of the proper sutural interface, the BMD may have little meaning in the evaluation of development and mechanical behaviour of sutures. In fact, the present study revealed no differences between the palatine (BMD = 0.67 g/cm3,

IQR = 0.12 g/cm3) and the maxillary region (BMD = 0.65 g/cm3, IQR = 0.24 g/cm3) (p = 0.988), despite the

signif-icant differences present in σf (p < 0.001), and E (p = 0.016). Apparently, other parameters such as the LOI, which

showed a better agreement with mechanical data, might be more appropriate indicators of sutural maturation.

Mechanical properties.

Bone strain can reach 1000 µm during loading of the facial skeleton in mastica-tion25, whilst the opening of the midpalatal suture can be even greater than 5.0 mm during maxillary expansion26.

Such important deformations of the sutural interface make the mechanical behaviour of the sutural ligament and its surrounding bone of biological and clinical interest. Still, although the midpalatal suture has received histo-logical and anatomical description in humans4,7,12–14,17,22,23,27 and animals5,19,28,29, and it is the primary structure

involved in maxillary expansion in humans14,24,26 and animals3,28,29, the information regarding its mechanical

properties is very sparse and it is probably confined to the analysis of few specimens in animals30. This limited

knowledge forced authors to design analytical models incorporating values of E from studies testing sutures other than the midpalatal11, and to develop numerical models based on either arbitrary values16 or even representing

the suture as an empty space10.

In the present study, a decreasing εf (−0.691, p < 0.001) and an increasing E (+0.494, p < 0.001) were observed

toward the caudal region of the suture, depicting a more rigid structure (Fig. 4G–I). Accordingly, an increas-ing sutural interdigitation (LIIAX + 0.718, p < 0.001; LIICOR + 0.473, p < 0.001) and obliteration (LOIAX + 0.513,

p < 0.001; LOICOR + 0.725, p < 0.001) were present from rostral to caudal, which is representative of a more

inter-locked and mature suture.

Furthermore, peculiar mechanical properties arose for each region, suggesting to consider the midpalatal suture to be composed by three segments not only anatomically, but also mechanically. With regard to this, ana-tomical parameters such as sutural width, interdigitation, obliteration and bone mineral density, resulted to be notably different especially between the premaxilla and the two more caudal regions (Table 1). εf followed a

similar trend, which might be explained by the greater width of the premaxillo-premaxillary suture, allowing larger soft tissue deformation during bending (Table 1). Whereas, it was the palatine region to be considerably different from the other two in terms of σf (Table 1), suggesting that the effect of the amount of obliteration on

this parameter might not be linear.

Analogies with clinical treatments.

In pathological conditions such as craniosynostosis i.e., the prema-ture ossification of cranial suprema-tures, not only obliteration but also mechanical properties have shown differences between synostosed and healthy sutures in humans31. Thus, understanding the amount of physiological

ossifica-tion is important. Further clinical interest in the ossificaossifica-tion of the midpalatal suture is related to the maxillary expansion27. For example, in humans, 5.0% of obliteration has been regarded as the limit for splitting the

midpal-atal sutures, which is not reached in most patients under 25 years of age12. Furthermore, a non-parallel V-shaped

opening of the maxillary halves has been reported by studies on humans15,16, and the rostro-caudal pattern of

the mechanical features shown in the present study (Fig. 4) may contribute to formulate research hypothesis about this phenomenon. However, maxillary expansion might be difficult to achieve in some patients despite low LOI32. In fact, not only intrinsic sutural properties may be relevant during maxillary expansion, and the

hin-drance offered by surrounding structures may also restrain the opening of the midpalatal suture in its most caudal area, both in humans33,34 and animals35.

Limitations.

With regard to the estimation of the mechanical parameters, the use of the cross-section (S0) of

the specimen may have influenced the value of σf. In fact, although the anterior region may have not been

signifi-cantly affected, due to the low LII associated with a relatively flat sutural surface, the most caudal region may have received an over-estimation of the σf because of a more extended surface subsequent to a greater interdigitation.

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Additionally, xlow was used for the calculation of εf and the deformation was assumed to be evenly distributed

along the supported length of the specimen. Conversely, utilising Sw would have led to the opposite approx-imation to consider all the εf to happen within the sutural ligament and none in the bone. As a consequence,

the values provided might be more representative of the entire structure rather than the sutural ligament alone, whose real εf might be of greater magnitude. Accordingly, E may be also more illustrative of the composite

bone-suture-bone structure, instead of one single constituting material.

Further, although the specimens were considered to behave as linear beams, their shape was irregular. Nevertheless, beside some protruding structures such as in the area of the alveolar processes and the projection of the midpalatal suture to join the vomer on the nasal side, the palate of the swine was relatively flat.

In the discussion of the mechanical data it should also be considered that specimens from the premaxilla were cut with a different method compared to the other regions. Nevertheless, all specimens were analysed with µCT and no fracture or damage was present before mechanical testing.

Lastly, animal age was estimated according to local regulations on edible animals and by dental-age assess-ment, and it should be considered as approximate. This said, a domestic swine reach maturity at about the age of 5–6 months36 and a gross inter-species comparison may allow approximately 9 to12-month-old swine to be

analogised to young humans at their last growth stages37 with completed sutural growth in the maxillary complex.

However, associating the age with changes in the sutural parameters, or achieving translational application to clinical treatments, was beyond the scope of the present study.

Concluding remarks.

Despite its clinical relevance in craniofacial development and orthopaedic treatments, hardly any information exists on the mechanical properties of the midpalatal suture, which should be analysed as a composite structure formed by three distinct segments.

The midpalatal suture was characterised by reduced elasticity and increased failure stress proceeding towards its most caudal part. The mechanical findings were supported by concordant anatomical features describing a progressively more mature structure along the same gradient. Nevertheless, the conspicuous anatomical and mechanical distinction of the premaxilla compared and contrasted with the rest of the maxillary complex suggests caution in attributing the highlighted differences only to the sutural maturation, since this structure remains simple and almost unossified throughout swine entire ontogeny38.

The present study emphasised the mechano-anatomical topographical variation of the midpalatal suture, on top of the already known age-related changes. These features can be of primary relevance with regard to sutural distrac-tion osteogenesis, and for the understanding of the growth and post-growth modificadistrac-tions of the maxillary complex.

Methods

Sample preparation.

Animals were purchased from the market after slaughter for human consumption, in agreement with regulations by the Committee on the Use of Live Animals in Teaching and Research (CULATR) of The University of Hong Kong. Eleven palates were harvested with high-speed hand-piece from swine heads (approximately 9 to 12-month-old) under water irrigation. One palate was used for histology, and ten for µCT and 4-point-bending (4PB). Samples were sliced parallel to the coronal plane (Fig. 5) via cutting-machine (IsoMet 5000, Buehler©, USA), under water irrigation. Specimens from the premaxilla could not be cut via automatic

cutting machine and were sliced with a circular hand saw (9710, Robust©, Hong Kong) under water irrigation.

According to its position in the palate, the width of the specimen between its right and left extremity (wAX, mm)

and the width between its nasal and oral extremity (wCOR, mm) were left according to the anatomy, whereas

the width between its rostral and caudal extremity (wSAG, mm) (Fig. 6) was standardised (≈2.5 mm). Alternate

specimens were selected for µCT and 4PB, keeping the remaining for SEM (VP-SEM SU1510, Hitachi©, Japan).

Thirteen specimens were tested from each palate (Fig. 5B). Specimens were immersed in saline solution (0.9% NaCl), refrigerated at 4 °C, and evaluations were performed within 48 h from the death of the animal.

Histology.

One palate was fixed with 4% paraformaldehyde (HO(CH2O)nH) for 24 h. After decalcification

with formic acid (HCOOH) for five days, ≈3.0 mm slices were prepared using a surgical blade on the coronal plane. Auto tissue processing (Excelsior ES, Thermo Scientific©, UK) was applied following standard steps in

eth-anol and xylene. Specimens were embedded in paraffin wax and cut into 6 µm sections using a microtome (RM 2155, LEICA©, Germany) on the same plane. Sections were stained with haematoxylin (Sigma H9627) and eosin

(Merck 15935), and mounted with a mounting medium (Fisher Scientific, SP15–500, Permount©). Images were

captured with an optical microscope (Eclipse LV 100 POL, Nikon©, Japan).

µCT.

µCT scans (SkyScan©1172, Bruker, US) were acquired at 640 × 512 pixel resolution, 80 kV

volt-age, 100 mA current, 1° rotation step, and 25 μm pixel size. Two standardised phantoms of hydroxyapatite (Ca5(PO4)3(OH)) with bone mineral density (BMD, g/cm3) of 0.25 g/cm3 and 0.75 g/cm3 were simultaneously

scanned in each acquisition. BMD calibration was obtained for each specimen from the average attenuation coef-ficient of a volume of one-hundred layers of the µCT of each phantom and a round region of interest with 4.0 mm diameter. BMD was calculated for a cylinder of 6.0 mm length and 1.0 mm diameter oriented on the latero-lateral axis (CTAnalyser©, Bruker, US) after aligning the specimen (DataViewer©, Bruker, US). The length of the suture

(l, mm) i.e., the line traced along the midline of the sutural interface, was measured on both planes (axial and coronal) (Fig. 6). The linear interdigitation index (LII, mm/mm) i.e., the ratio between the length of the suture and the width of the specimen, was calculated for both planes (axial and coronal):

=

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and

=

LIICOR lCOR/wCOR (2)

The sutural width (Sw, µm) i.e., the shortest distance betw/een the two cortical plates enclosing the sutural liga-ment, was calculated as the average among four equidistant measurements along the suture on both planes (axial and coronal) (Fig. 6). The obliterated length of the suture (lob, mm) i.e., the sum of the obliterated segments along

Figure 5. (A) Representation of the sagittal plane perpendicular to the oral surface and with rostro-caudal

orientation (SAG, violet), the axial plane parallel to the oral surface (AX, blue), and the coronal plane perpendicular to the oral surface and with latero-lateral direction (COR, green). (B) Representation of the midpalatal suture: the rostral segment that is the premaxillo-premaxillary suture (PM, yellow), the middle segment that is the maxillo-maxillary suture (MA, orange) and the caudal segment that is the palato-palatine suture (PA, red), which divide the two premaxillae, the two maxillae, and the two palatine bones, respectively. The parts of the palate containing the anterior transversal palatal suture or the posterior transversal palatal sutures (grey), and the most rostral part of the premaxilla (grey) were excluded. Numbers indicate the slices from the most rostral to the most caudal part of the palate. (C) Representation of the 4PB test: the jig had a lower span (xlow, mm) of 20.00 mm and an upper span (xupp, mm) of 8.00 mm, with xupp to xlow ratio of 2:5.

Rollers had radius (r) of 0.75 mm to avoid excessive indentation and stress concentrations in some areas of the specimen (please see Table 2 for explanation of the symbols).

Figure 6. Example images of the µCT parameters. Series of images on the coronal plane from rostral to caudal (A-I). On the sagittal plane: cross section of the specimen (S0, orange area), from which a variable oro-nasal

width of the specimen can be appreciated (K). On the coronal plane: width of the suture (SwCOR, light blue

arrow) and obliterated length of the suture (lobCOR, dotted violet line) (J); oro-nasal width of the specimen

(wCOR, blue arrow) and length of the suture (lCOR, green dotted line) (L). On the axial plane: rostro-caudal width

of the specimen (wAX, blue arrow) and length of the suture (lAX, dotted green line) (SwAX and lobAX were not

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the suture (where obliterated means that no radiotransparent space was present between the two cortical plates) (Fig. 6), was calculated on both planes (axial and coronal). The linear obliteration index (LOI, mm/mm) i.e., the ratio between the length of obliterated suture and the total length of the suture, was calculated for both planes (axial and coronal):

=

LOIAX lob wAX AX/ (3)

and

LOICOR=lobCOR/wCOR (4)

The surface of the cross-section of the specimen (S0, mm2) was measured on the sagittal plane (Fig. 6). Anatomical

parameters were measured with graphical software (ImageJ39).

Four-point-bending.

4PB tests till failure were performed using a testing machine (Instron© 4444, UK) with

a ±100 N load cell (Fig. 5C). Specimens were positioned with the oral side facing the lower span (xlow), similar to

the bending during maxillary expansion, and loaded at 1.00 mm/min at room temperature (≈25 °C), while kept moist with saline solution spray. Data were acquired at 0.1 KHz recording deflection (δ, mm) and force (F, N). Specimens were assumed to be solid linear beams with a constant cross-section (S0). After 4PB, specimens failed

along the suture were identified with an optical stereo-microscope (UFX-II, Nikon©, Japan) at 40×

magnifica-tion40. Only these specimens were included in the mechanical calculation and only geometry at the failure site

was considered (S0 = S0f, wAX = wAXf, and wCOR = wCORf). Because of the static bending, the mass of the beam was

assumed to be negligible and only xlow, and not the actual beam length (W), was considered. Because of a variable

anatomy on the oro-nasal direction (Fig. 6K), a mathematical w′COR rather than the actual µCT measurement

(wCOR) was used to better comply with the assumption of uniform S0:

′ =

w S

w (5)

COR 0

AX The elastic modulus (E, N/m2) was calculated:

= ′ E F c x c w w 2 (3 4 ) 8 (6) f f low AX COR 2 2 3 where δf (mm) is the deflection at failure.

Failure strain (εf, mm/mm), at ½ xlow and ½ wCORf, was calculated: symbol

list of the variables

name unit of measurement

F force N

δ deflection mm

r radius of the roller mm

c horizontal distance between upper and lower roller on

one side mm

xupp upper span length mm

xlow lower span length mm

l length of the suture mm

w width of the specimen mm

W length of the beam mm

S0 cross-section of the specimen mm2 lob obliterated length of the suture mm

E elastic modulus Pa

σ stress Pa

ε strain mm/mm

Sw width of the suture µm

LII linear interdigitation index mm/mm

LOI linear obliteration index mm/mm

PosCAT region of the specimen PM, MA, PA

PosCON position of the specimen 1 to 13

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= wδ x c 12 (3 4 ) (7) f COR low2 2 f

Failure stress (σf, N/m2) was calculated:

σ =F w w 3c (8) f f AX COR2 where Ff (N) is the force at failure.

Data analysis.

Categories were created for the premaxillary (PM), maxillary (MA), and palatine (PA) region

i.e., (PosCAT), and specimens were also numbered from rostral to caudal (from 1 to 13) i.e., (PosCON). Anatomical

parameters (Sw, LII, LOI, BMD) were calculated including all the data, whereas mechanical parameters (E, εf, σf)

were calculated including only data from specimens failed along the suture. Normality of the data distribution was assessed with the Shapiro-Wilk test. The Kruskal-Wallis one-way ANOVA with the Mann-Whitney’s post hoc test were used to compare E, εf, σf, Sw, LII, LOI, and BMD relatively to PosCAT, and the Spearman’s rank coefficient

was used to analyse correlations with PosCON. Data analysis was performed with statistical software (SPSS© V23.0,

IBM, US) at significance level α = 0.05.

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

Authors express their gratitude to Mr. Y.Y. Chui (Hard Tissues Laboratory, Faculty of Dentistry, The University of Hong Kong) for his collaboration in the acquisition of µCT data and histological analysis, and to Mr. S. Lee and Mr. A. Wong (Hard Tissues Laboratory, Faculty of Dentistry, The University of Hong Kong) for the acquisition of SEM images. This publication is part of the PhD thesis of Dr. F. Savoldi (Faculty of Dentistry, The University of Hong Kong), which is supported by the Hong Kong PhD Fellowship of the Research Grants Council of Hong Kong, and of the MSc(DMS) thesis of Dr. B. Xu (Faculty of Dentistry, The University of Hong Kong).

Author Contributions

F.S. contributed to the design of the study, preparing the samples, performing the experiments, analysing the data, and writing the manuscript; B.X. contributed to preparing the samples, performing the experiments, analysing the data, and drafting the manuscript; J.K.H.T. contributed to the design of the study, provided expert advice, and reviewed the manuscript; C.P. provided expert advice and reviewed the manuscript; J.P.M. provided expert advice and reviewed the manuscript. All authors approved the final version of the manuscript.

Additional Information

Competing Interests: The authors declare no competing interests.

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License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Cre-ative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not per-mitted by statutory regulation or exceeds the perper-mitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

Figura

Figure 1.  Histological images of the midpalatal suture (haematoxylin-eosin, 1×, bar = 2000 μm) on the coronal
Figure 2.  Histological images of the midpalatal suture (haematoxylin-eosin, 10×, bar = 200 μm) in the coronal
Figure 3.  SEM images showing the coronal plane (rostro-caudal view) of a specimen from the maxillary
Figure 4.  Sutural width (Sw) (A and B), linear interdigitation index (LII) (C and D), and linear obliteration
+3

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